Covariance analysis for energy density functionals and instabilities
Abstract
We present the covariance analysis of two successful nuclear energy density functionals (EDFs), (i) a non-relativistic Skyrme functional built from a zero-range effective interaction, and (ii) a relativistic nuclear EDF based on density dependent meson-nucleon couplings. The covariance analysis is a useful tool for understanding the limitations of a model, the correlations between observables and the statistical errors. We show, for our selected test nucleus {{ }208}Pb, that when the constraint on a property A included in the fit is relaxed, correlations with other observables B become larger; on the other hand, when a strong constraint is imposed on A, the correlations with other properties become very small. We also provide a brief review, partly connected with the covariance analysis, of some instabilities displayed by several EDFs currently used in nuclear physics.
- Publication:
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Journal of Physics G Nuclear Physics
- Pub Date:
- March 2015
- DOI:
- arXiv:
- arXiv:1406.1885
- Bibcode:
- 2015JPhG...42c4033R
- Keywords:
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- Nuclear Theory;
- Nuclear Experiment
- E-Print:
- Accepted in JPhysG